Technical Field
[0001] The present invention relates to a secondary-battery monitoring device and a prediction
method of a battery capacity of a secondary battery.
Background Art
[0002] In an apparatus using a secondary battery as a power source (for example, an electric
motor vehicle using the secondary battery as a power source of a vehicle traveling
motor), it is important performing a process such as ascertaining a degradation state
of the secondary battery with accuracy, and replacing the secondary battery before
a defect caused by degradation occurs. PTL 1 discloses a prediction system as a device
for detecting a capacity degradation state of the secondary battery for example. In
PTL 1, a method of using a root method model is described as a method of predicting
the capacity degradation state.
Citation List
Patent Literature
Summary of Invention
Technical Problem
[0004] However, in the root method model used in the prediction system described in PTL
1 above, it is difficult to predict a capacity degradation behavior for a long time
with accuracy.
Solution to Problem
[0005] According to an aspect of the present invention, a secondary-battery monitoring device
includes: a use-state memory device that stores a transition of a load parameter indicating
a use state of a secondary battery; and a battery capacity prediction device that
predicts a temporal change of a battery capacity of the secondary battery on the basis
of a prediction function, wherein the prediction function is a function derived from
a relation between a growth of a film which is formed in an electrode surface of the
secondary battery, and a reduction of a precursor component of the film which is contained
in an electrolyte of the secondary battery, and wherein the battery capacity prediction
device determines a coefficient of the prediction function on the basis of the transition
of the load parameter which is stored in the use-state memory device, and predicts
the temporal change of the battery capacity of the secondary battery on the basis
of the prediction function which uses the coefficient.
[0006] According to another aspect of the present invention, a prediction method of a battery
capacity of a secondary battery includes: using a prediction function of the battery
capacity of the secondary battery, the prediction function being derived from a relation
between a growth of a film formed in an electrode surface of the secondary battery
and a reduction of a precursor of the film contained in an electrolyte of the secondary
battery; determining a coefficient of the prediction function on the basis of a transition
of a load parameter indicating a use state of the secondary battery; and predicting
a temporal change of the battery capacity of the secondary battery on the basis of
the prediction function using the coefficient.
Advantageous Effects of Invention
[0007] According to the invention, it is possible to predict a temporal change of a battery
capacity of a secondary battery with accuracy.
Brief Description of Drawings
[0008]
[FIG. 1] FIG. 1 is a diagram illustrating a battery system containing a battery control
system according to a first embodiment and a peripheral configuration.
[FIG. 2] FIG. 2 is a diagram illustrating a circuit configuration of a single battery
control unit.
[FIG. 3] FIG. 3 is a diagram schematically illustrating a structure of a single battery.
[FIG. 4] FIG. 4 is a graph illustrating behavior of a battery capacity function Q(t)
over time.
[FIG. 5] FIG. 5 is a graph in which a measured value of a temporal change of a battery
capacity of the single battery on a predetermined load condition is plotted together
with a prediction curve of the battery capacity by a capacity degradation function.
[FIG. 6] FIG. 6 is a graph illustrating a difference between a reduced amount of capacity
of the single battery after the entire evaluation period is over and a predicted value
based on the capacity degradation function.
[FIG. 7] FIG. 7 is a graph illustrating a difference between the reduced amount of
capacity of the single battery after the entire evaluation period is over and the
predicted value of capacity based on the conventional root-t method.
[FIG. 8] FIG. 8 is a graph illustrating a relation between a length of coefficient
determining period and a capacity prediction error.
[FIG. 9] FIG. 9 is a flowchart illustrating an operation of a prediction process of
the temporal change of the battery capacity of each single battery.
[FIG. 10] FIG. 10 is a diagram illustrating a configuration of a device in a case
where the invention is applied to an evaluation test device of the temporal change
of the battery capacity.
[FIG. 11] FIG. 11 is a flowchart illustrating an operation of a prediction process
of the temporal change of the battery capacity of a target battery in an evaluation
test device.
Description of Embodiments
First Embodiment
[0009] Herein, a first embodiment of the invention will be described with reference to the
drawings. In the following embodiment, a battery system of a power source of a hybrid
electric vehicle (HEV) will be described using an example in a case where the invention
is applied.
[0010] Further, in the following embodiment, single batteries are connected in series to
form a battery pack. However, the single batteries connected in parallel may be connected
in series to form the battery pack, or the single batteries connected in series may
be connected in parallel to form the battery pack. In addition, only one single battery
may be used to form the battery pack.
[0011] FIG. 1 is a diagram illustrating a battery system 100 containing a battery control
system 120 according to the first embodiment of the invention and a peripheral configuration.
The battery system 100 is connected to an inverter 400 through relays 300 and 310.
The battery system 100 includes a battery pack 110 and the battery control system
120. The battery control system 120 includes single battery control units 121a and
121b, a current detection unit 130, a total voltage detection unit 140, a battery
pack control unit 150, and a memory unit 180.
[0012] The battery pack 110 is configured by connecting single-battery groups 112a and 112b
in series, each of which is configured by a plurality of single batteries (battery
cells) 111. The single battery control units 121a and 121b are connected to the single-battery
groups 112a and 112b respectively, detect a cell voltage (voltage across both terminals)
and a temperature of each single battery 111 of these single-battery groups, and transmit
a signal indicating the detection result to the battery pack control unit 150 through
a signal channel 160 and an insulating element 170. Further, a photocoupler is used
as the insulating element 170 for example.
[0013] The current detection unit 130 detects a current flowing to each of the single batteries
111 connected in series in the battery pack 110 and measures a current value. The
total voltage detection unit 140 detects the voltage across both terminals of the
battery pack 110 (that is, a total voltage of the single batteries 111 connected in
series in the battery pack 110).
[0014] The battery pack control unit 150 acquires the cell voltage and the temperature of
each single battery 111 on the basis of the signal transmitted from the single battery
control units 121a and 121b. In addition, the value of the current flowing to the
battery pack 110 is acquired from the current detection unit 130, and a total voltage
value of the battery pack 110 is acquired from the total voltage detection unit 140.
The battery pack control unit 150 detects a state of the battery pack 110 on the basis
of the information. The state of the battery pack 110 detected by the battery pack
control unit 150 is transmitted to the single battery control units 121a and 121b
and a vehicle control unit 200.
[0015] The battery pack 110 is configured by electrically connecting one or more single
batteries 111 in series which can be charged or discharged with electric energy (charging/discharging
of DC power). A predetermined number of single batteries 111 of the battery pack 110
are divided into groups in order to manage/control the state. The grouped single batteries
111 are electrically connected in series, and form the single-battery groups 112a
and 112b. Further, the number of single batteries 111 of the single-battery group
112 may be the same in all the single-battery groups 112. Alternatively, the number
of single batteries 111 may be different at every single-battery group 112. In this
embodiment, to simplify the description below, four single batteries 111 are electrically
connected in series to form each of the single-battery groups 112a and 112b, and these
single-battery groups 112a and 112b are further electrically connected in series as
illustrated in FIG. 1, so that total eight single batteries 111 are included in the
battery pack 110.
[0016] Further, each single battery 111 of the battery pack 110 is provided with an explosion-proof
mechanism for preventing a voltage rising by blocking the current in a case where
the single battery is overcharged and increased in voltage.
[0017] Herein, the description will be made about a method of communicating between the
battery pack control unit 150 and the single battery control units 121a and 121b.
The single battery control units 121a and 121b are connected in series in a descending
order of potentials of the monitoring single-battery groups 112a and 112b. A signal
transmitted from the battery pack control unit 150 is input to the single battery
control unit 121a through the insulating element 170 and the signal channel 160. The
output of the single battery control unit 121a is input to the single battery control
unit 121b through the signal channel 160. The output of the single battery control
unit 121b at the lowest potential is transmitted to the battery pack control unit
150 through the insulating element 170 and the signal channel 160. Further, in this
embodiment, there is no insulating element provided between the single battery control
unit 121a and the single battery control unit 121b, but the signal also may be transmitted
or received therebetween through the insulating element.
[0018] The memory unit 180 is a memory element which can read various types of information
according to control of the battery pack control unit 150. For example, a nonvolatile
memory medium such as EEPROM (Electrically Erasable Programmable Read Only Memory)
or flash memory is used to form the memory unit 180. In the memory unit 180, various
types of information related to the state of each single battery 111 of the battery
pack 110 are stored as information for the battery pack control unit 150 to perform
the control of the battery pack 110. For example, information related to a state of
charge (SOC) of the single battery 111 and information related to an inner resistance
of each single battery 111 are stored in the memory unit 180. In addition, the memory
unit 180 stores a cumulated deterioration amount which is calculated on the basis
of a load history such as a current flowing to each single battery 111, an ambient
temperature, and the SOC. Further, the cumulated deterioration amount will be described
in detail below.
[0019] The battery pack control unit 150 performs various types of processes and calculations
to control the battery pack 110 using information acquired from the single battery
control units 121a and 121b, the current detection unit 130, the total voltage detection
unit 140, and the vehicle control unit 200, and using information stored in the memory
unit 180. For example, a calculation of the SOC and a state of health (SOH) of each
single battery 111 of the battery pack 110, a calculation of an allowable power which
can be charged or discharged in the battery pack 110, a determination on an abnormal
state of the battery pack 110, and a calculation for controlling the amount of charging/discharging
of the battery pack 110 are performed. Then, information necessary for the control
of the battery pack 110 is output to the single battery control units 121a and 121b
and the vehicle control unit 200 on the basis of these calculation results. Further,
the battery pack control unit 150 and the vehicle control unit 200 each are connected
to a communication network (called CAN (Controller Area Network)) in the vehicle,
and can transmit and receive the information to each other.
[0020] The vehicle control unit 200 controls the inverter 400 which is connected to the
battery system 100 through the relays 300 and 310 using the information transmitted
from the battery pack control unit 150. During the traveling of the vehicle, the battery
system 100 is connected to the inverter 400. The inverter 400 drives a motor generator
410 using energy accumulated in the battery pack 110 in the battery system 100.
[0021] In a case where a vehicle system equipped with the battery system 100 is activated,
the battery system 100 is connected to the inverter 400 for the management of the
vehicle control unit 200. Then, the motor generator 410 is driven by the inverter
400 using the energy accumulated in the battery pack 110. On the other hand, the battery
pack 110 is charged with power generated by the motor generator 410 at the time of
regenerating power.
[0022] When the battery system 100 is connected to a charger 420 through relays 320 and
330, the battery pack 110 is charged by a charging current supplied from the charger
420 until a predetermined condition is satisfied. The energy accumulated in the battery
pack 110 through the charging is used at the next traveling time of the vehicle and
also used to operate interior or exterior electric equipment of the vehicle. Furthermore,
the energy may be discharged to an external power source represented by a household
power source as needed. Further, the charger 420 is mounted in the household power
source or an external power source represented by an electric station. When the vehicle
mounted with the battery system 100 is connected to these power sources, the battery
system 100 and the charger 420 are connected on the basis of the information transmitted
by the vehicle control unit 200.
[0023] FIG. 2 is a diagram illustrating a circuit configuration of the single battery control
unit 121a. As illustrated in FIG. 2, the single battery control unit 121a includes
a cell voltage detection unit 122, a control circuit 123, a signal input/output circuit
124, and a temperature detection unit 125. Further, the single battery control unit
121a and the single battery control unit 121b of FIG. 1 have the similar circuit configuration.
Therefore, a circuit configuration of the single battery control unit 121a is illustrated
in FIG. 2 on behalf of these units.
[0024] The cell voltage detection unit 122 measures the cell voltage (voltage across both
terminals) of each single battery 111. The control circuit 123 acquires the measured
result from the cell voltage detection unit 122 and the temperature detection unit
125, and transmits the result to the battery pack control unit 150 through the signal
input/output circuit 124. Further, while not illustrated in FIG. 2, the single battery
control unit 121a is provided with a well-known circuit configuration for equalizing
voltages between the single batteries 111 generated due to self-discharging or a deviation
in current consumption, and for equalizing a deviation in the SOC. The operation of
this circuit is controlled by the control circuit 123.
[0025] In FIG. 2, the temperature detection unit 125 has a function of measuring the temperature
of the single-battery group 112a. The temperature detection unit 125 measures the
temperature of one single battery of the entire single-battery group 112a, and uses
the temperature as a representative temperature value of each single battery 111 of
the single-battery group 112a. The temperature measurement result of the temperature
detection unit 125 is used in various types of calculations in the battery pack control
unit 150 for detecting the states of the single battery 111, the single-battery group
112a, and the battery pack 110. At this time, the temperature measured by the temperature
detection unit 125 is used not only as the temperature of each single battery 111
of the single-battery group 112a but also as the temperature of the single-battery
group 112a. Furthermore, the battery pack control unit 150 may obtain the temperature
of the battery pack 110 by averaging the temperature of the single-battery group 112a
measured by the temperature detection unit 125 of the single battery control unit
121a and the temperature of the single-battery group 112b measured by the temperature
detection unit 125 of the single battery control unit 121b.
[0026] Further, FIG. 2 illustrates an example in which one temperature detection unit 125
is provided in the single battery control unit 121a. Otherwise, the temperature detection
unit 125 may be provided in every single battery 111 to measure the temperature of
each single battery 111, and the battery pack control unit 150 may perform various
types of calculations on the basis of the measurement results. However, in such a
case, the configuration of the single battery control unit 121a becomes complicated
as the number of temperature detection units 125 is increased. Alternatively, one
temperature detection unit 125 may be provided with respect to the entire battery
pack 110.
[0027] Further, the temperature detection unit 125 is simplified as one block in FIG. 2,
but in practice a temperature sensor is provided for the single-battery group 112a
which is a temperature measuring target, and outputs the temperature information as
a voltage signal. The temperature of the single-battery group 112a is calculated by
the control circuit 123 on the basis of the voltage signal so as to obtain a temperature
measurement result of the single-battery group 112a. When the temperature measurement
result calculated by the control circuit 123 is transmitted to the signal input/output
circuit 124, the signal input/output circuit 124 outputs the temperature measurement
result to the outside of the single battery control unit 121a. A function of realizing
a series of flows is mounted as the temperature detection unit 125 in the single battery
control unit 121a. Further, the measurement of the voltage signal output from the
temperature sensor may be performed by the cell voltage detection unit 122.
[0028] FIG. 3 illustrates the single battery 111 which is used in this embodiment. The single
battery 111 of this embodiment is a cylindrical lithium-ion secondary battery which
uses a carbon negative electrode. A positive electrode plate 11 containing a combined
lithium oxide as an active material and an negative electrode plate 12 containing
a lithium-ion-holding material as the active material are spirally wound with a separator
13 interposed therebetween, so that an electrode winding group 22 is manufactured.
The electrode winding group 22 is contained in a battery housing 26 of the single
battery 111 together with a predetermined electrolytic solution.
[0029] As a positive electrode active material coated on the positive electrode plate 11,
there may be exemplified a lithium cobalt oxide and a modification body thereof (obtained
by dissolving aluminum and magnesium in the lithium cobalt oxide), lithium nickelate
and a modification body thereof (obtained by substituting part of nickel into cobalt),
lithium manganate and a modification body thereof, and their compound oxides (nickel,
cobalt, manganese, ion, aluminum, molybdenum, etc.). In addition, an olivine-based
compound and a lithium manganese compound of a spinel type structure may be used alone,
and an oxide obtained by compounding the above compounds may be used.
[0030] As a conductive material for the positive electrode, for example, carbon black such
as acetylene black, ketjen black, channel black, furnace black, lamp black, and thermal
black, or various types of graphite may be used alone, or a conductive material obtained
by compounding the above carbons may be used.
[0031] As a binder for the positive electrode, for example, polyvinylidene fluoride (PVdF),
a modification body of polyvinylidene fluoride, polytetrafluoroethylene (PTFE), and
a rubber particle binder having an acrylate unit may be used. At this time, an acrylic
mono-rate monomer introducing a reactive functional group, or an acrylate oligomer
may be mixed in the binder.
[0032] Next, as an negative electrode active material coated on the negative electrode plate
12, various types of natural graphite, artificial graphite, a silicon-based composite
material such as silicide, and various types of metal plastic materials may be used,
or a material obtained by mixing amorphous carbon (hardly graphitizable carbon and
easily graphitizable carbon) into natural graphite, artificial graphite, silicon-based
composite material, and various types of metal plastic materials may be used.
[0033] As a binder for the negative electrode, various types of binder may be used including
PVdF and a modification body thereof. However, from the viewpoint of improving acceptability
of the lithium ions, cellulose resin including carboxymethyl cellulose (CMC) is desirably
combined to styrene-butadiene copolymer (SBR) and a modification body thereof, or
added in a small quantity.
[0034] At this time, as a conductive material for the negative electrode, for example, carbon
black such as acetylene black, ketjen black, channel black, furnace black, lamp black,
and thermal black, or various types of graphite may be used alone, or a conductive
material obtained by compounding the above carbons may be used.
[0035] The separator is not limited as long as the material is endurable in a usage range
of the lithium-ion secondary battery, and a polyolefin-based microporous film such
as polyethylene and polypropylene is generally used in a single or complex layers,
and is desirable for implementation. A thickness of the separator is not limited,
but desirably 10 to 40 µm.
[0036] Regarding the electrolytic solution, various types of lithium compounds such as LiPF6
and LiBF4 may be used as an electrolyte salt. In addition, ethylene carbonate (EC),
dimethyl carbonate (DMC), and diethyl carbonate (DEC) may be used alone as a solvent,
or may be used by combination thereof. In addition, a preferable film is formed on
the positive electrode and the negative electrode, vinylene carbonate (VC), cyclohexylbenzene
(CHB), and a modification body thereof may be desirably used in order to guarantee
stability at the time of overcharging.
[0037] A shape of the electrode winding group in this embodiment may be a right cylindrical
shape of which the cross section is a right circle, a long cylindrical shape of which
the cross section is an elliptic shape, or an angulated pillar shape of which the
cross section is a rectangular shape.
[0038] In addition, the battery housing in which the electrode winding group is filled is
not particularly limited, but preferably a housing excellent in strength, corrosion
resistance and workability (for example, a battery housing in which the steel is subjected
to plating for corrosion resistance, and a battery housing made of a stainless steel).
In addition, an aluminum alloy and various types of engineering plastics may be employed
together with metal.
[0039] In this embodiment, the battery pack control unit 150 predicts a life span of each
single battery 111 (that is, a reduction of capacity) as described below. Then, information
of the predicted result on the life span of each single battery 111 in the battery
pack control unit 150 is stored in the memory unit 180 for example. The information
of the predicted result on the life span of each single battery 111 stored in the
memory unit 180 is read through the battery pack control unit 150 and the vehicle
control unit 200, and displayed in a display device (not illustrated) mounted in the
vehicle. In addition, the information of the predicted result on the life span of
each single battery 111 stored in the memory unit 180 is output through the battery
pack control unit 150 and the vehicle control unit 200 to a diagnosis device (not
illustrated) connected to the vehicle at a maintenance service center at the time
of maintaining the vehicle for example.
Derivation of Capacity Degradation Function for Predicting Life Span
[0040] It is considered that a growth of SEI film (a solid-electrolyte interface film) generated
by a side reaction in the negative electrode surface is a main factor of degradation
of a lithium-ion battery using a carbon negative electrode. Therefore, the battery
capacity is reduced in proportion to an increase of a thickness of the SEI film. In
the conventional deterioration model, the thickness of the SEI film is considered
to be in proportion to a square root of a battery use time. This model is a capacity
deterioration model called "root-t method".
[0041] In the root-t method, a physical model is assumed in which an SEI precursor concentration
g(t) in the electrolytic solution is always constant (g(t) = g0), the SEI precursor
in the electrolytic solution is diffused in the SEI film and reaches the negative
electrode surface, and a formation reaction of the SEI film occurs. In the physical
model, a growth speed D' (t) of a film thickness D(t) is in proportion to the SEI
precursor concentration g (t) in the electrolytic solution, and is in inverse proportion
to the film thickness D (t) as shown in Equation (1). In Equation (1), α is a proportional
coefficient which varies a battery specification (electrolytic solution composition,
electrolytic solution amount, positive electrode material, negative electrode material,
electrode coating condition, etc.) and a load parameter (temperature, SOC, current,
etc.).
[Equation 1]

[0042] When a differential equation of Equation (1) is solved on an assumption that the
SEI precursor concentration in the electrolytic solution is constant (g(t) = g0),
the film thickness D(t) becomes a function which is in proportion to a square root
of time as shown in Equation (2).
[Equation 2]

[0043] In a case where a battery capacity Q(t) is reduced in proportion to an increased
amount of the film thickness D(t), the battery capacity Q(t) is expressed as Equation
(3). In Equation (3), γ is a proportional coefficient corresponding to the film thickness
D(t) and a reduced capacity, and varies depending on the battery specification (electrolytic
solution composition, electrolytic solution amount, positive electrode material, negative
electrode material, electrode coating condition, etc.). Equation (3) is a function
which is expressed by the root-t method.
[Equation 3]

[0044] Next, a physical model of an improved deterioration function proposed in the invention
will be described. This physical model is a physical model in which the SEI precursor
in the electrolytic solution reacts in the electrode surface so as to generate the
SEI film and to be grown similarly to the root-t method. In the conventional root-t
method, the SEI precursor concentration g(t) in the electrolytic solution is assumed
to be constant in time. However, since the SEI precursor is consumed as much as the
SEI film is grown, the SEI precursor concentration g(t) in the electrolytic solution
is reduced and expressed as Equation (4). In the improved deterioration function proposed
in the invention, a temporal variation of the SEI precursor concentration g(t) is
modeled. In Equation (4), β is a proportional coefficient corresponding to an increase
of D(t) and a reduction of g(t), and varies depending on the battery specification
(electrolytic solution composition, electrolytic solution amount, positive electrode
material, negative electrode material, electrode coating condition, etc.).
[Equation 4]

[0045] Equation (4) is substituted into Equation (1) and reformed to obtain Equation (8).
[Equation 5]

[Equation 6]

[Equation 7]

[Equation 8]

[0046] Both sides of Equation (8) are integrated to obtain Equation (10).
[Equation 9]

[Equation 10]

[0047] While being shown by an initial capacity Qmax,ini and the film thickness D(t), the
battery capacity Q(t) is expressed as a dimensionless function X(t) standardized using
the initial capacity Qmax,ini as shown in Equation (11).
[Equation 11]

[0048] Equation (12) is obtained by substituting the relation between D (t) and X(t) obtained
from Equation (11) into Equation (10). Further, the left side of Equation (12) is
denoted as "t" for the convenience of expression.
[Equation 12]

[0049] If Equation (12) is collectively arranged in its coefficients as denoted in Equations
(13) and (14), Equation (15) is obtained. In Equation (15), A and
τ are coefficients obtained by substituting constant terms made of α, β, γ, g0, and
Qmax,ini for the simplification. At this time, the coefficient A varies depending
on the battery specification (the electrolytic solution composition, the electrolytic
solution amount, positive electrode material, negative electrode material, electrode
coating condition, etc.), and does not vary depending on the load parameter. In addition,
the coefficient τ varies depending on the battery specification (the electrolytic
solution composition, the electrolytic solution amount, positive electrode material,
negative electrode material, electrode coating condition, etc.) and the load parameter
(temperature, SOC, current, etc.).
[Equation 13]

[Equation 14]

[Equation 15]

[0050] Hitherto, the description has been made about formulation of the physical model in
which the temporal change of the concentration g(t) of the SEI precursor in the electrolytic
solution is considered. According to this deterioration model, the battery capacity
function Q (t) is reduced in proportion to X(t) as illustrated in Equations (15) and
(11). As temporal behavior of Q(t), the capacity is reduced from the initial capacity
Qmax,ini as illustrated in FIG. 4, and is expressed as a function converged to Qmax,ini
× (1-A).
Accuracy in Battery Capacity Prediction by Capacity Degradation Function
[0051] The description will be made about an error of prediction on the battery capacity
by the capacity degradation function calculated as described above. FIG. 5 is a graph
in which a measured value of a temporal change of the battery capacity of the single
battery 111 on a predetermined load condition is plotted together with a prediction
curve of the battery capacity by the capacity degradation function. In FIG. 5, the
temporal change of the battery capacity of the single battery 111 on the predetermined
load condition is measured and plotted over an entire period of evaluating the accuracy
in the battery capacity prediction.
[0052] The graph depicted with the solid line in FIG. 5 represents the prediction curve
of the battery capacity by the capacity degradation function of Equation (15). In
the calculation of the prediction curve, a 1/5 period of the entire period of evaluating
the accuracy in the battery capacity prediction is set as a determination period of
the coefficient. Then, a fitting is performed such that the square sum of an error
of the predicted value by the capacity degradation function of Equation (15) with
respect to the plot of the measured value in the determination period is minimized,
and the coefficients A and τ are determined. As illustrated in FIG. 5, even when the
coefficients A and τ are determined on the basis of the data of the measured value
in the 1/5 period of the entire evaluation period, there shows a matching between
the prediction curve of the battery capacity and the measured value of the battery
capacity over the entire evaluation period.
[0053] In addition, FIG. 6 is a graph illustrating a difference between a reduced amount
of the capacity of the single battery 111 after the entire evaluation period and the
predicted value by the capacity degradation function of this embodiment. The horizontal
axis of FIG. 6 represents the reduced amount (hereinafter, referred to as "final reduced
capacity of the entire period") of the single battery 111 after the entire evaluation
period, which is a difference between the initial capacity of the single battery 111
and the capacity of the single battery 111 after the entire evaluation period. The
vertical axis of FIG. 6 represents a difference between the final reduced capacity
of the entire period and the predicted value by the capacity degradation function
of Equation (15) (hereinafter, referred to as "capacity prediction error"). Further,
in FIG. 6, the coefficients A and τ are determined by setting the entire period of
evaluating the accuracy of the battery capacity prediction as the determination period
of the coefficient.
[0054] As illustrated in FIG. 6, in a case where the battery capacity is predicted by the
capacity degradation function of Equation (15), the capacity prediction error falls
within a constant range regardless of the magnitude of the final reduced capacity
of the entire period.
[0055] FIG. 7 is a graph illustrating a difference between the reduced amount of the capacity
of the single battery 111 after the entire evaluation period and the predicted value
of the capacity based on the conventional root-t method. In each plot of FIG. 7, the
predicted value of the battery capacity is calculated using the following Equation
(16) based on the conventional root-t method. Further, in the following Equation (16),
a coefficient k is a coefficient determined by performing a fitting such that the
square sum of the error of the predicted value by Equation (16) with respect to the
measured value of the entire period of evaluating the accuracy of the battery capacity
prediction is minimized. In addition, a coefficient a is a coefficient for correcting
an influence of the thickness of the SEI film already formed at the time of stating
a life test.
[Equation 16]

[0056] As illustrated in FIG. 7, in a case where the battery capacity is predicted on the
basis of the conventional root-t method, the capacity prediction error tends to increase
as the final reduced capacity of the entire period increases.
[0057] FIG. 8 is a graph illustrating a relation between the length of the determination
period of the coefficient and the capacity prediction error. A circle plot in FIG.
8 represents the capacity prediction error with respect to the capacity degradation
function of Equation (15) according to the invention, and a rectangular plot represents
the capacity prediction error with respect to the capacity degradation function of
Equation (16) according to the conventional root-t method.
[0058] As can be seen from FIG. 8, the capacity prediction error become small as the length
of the determination period of the coefficient becomes large in any case where the
battery capacity is predicted by the capacity degradation function of Equation (15)
according to the invention and by the capacity degradation function of Equation (16)
according to the conventional root-t method. However, the magnitude of the capacity
prediction error in the capacity degradation function of Equation (15) according to
the invention is smaller than that in the capacity degradation function of Equation
(16) according to the conventional root-t method as long as the length of the determination
period of the coefficient is the same. In other words, the capacity prediction accuracy
is higher in the capacity degradation function of Equation (15) according to the invention
more than that in the capacity degradation function of Equation (16) according to
the conventional root-t method.
Basic Data for Life Prediction
[0059] In the battery system 100 of this embodiment, basic data for predicting the life
span of the single battery 111 (that is, the temporal change of the battery capacity)
is stored in the memory unit 180 in advance. The basic data for the prediction of
the temporal change of the battery capacity of each single battery 111 includes the
capacity degradation function of Equation (15) and information on the coefficients
A and τ.
[0060] Further, the information on the coefficients A and τ previously stored in the memory
unit 180 is obtained in advance as described below. First, a life test is performed
on a plurality of test conditions in which the load parameters such as a current pattern
I(t), an ambient temperature T(t), and an SOC operational range SOC(t) are combined.
At that time, the battery capacity is measured at an appropriate time interval to
obtain plot data indicating a relation between a life-test elapse time according to
the load parameter and the battery capacity. At this time, a load pattern of the test
condition comes to be always constant with respect to the life-test elapse time, or
comes to be periodic. Then, the coefficients A and τ are determined by performing
a fitting such that the entire test period is set to the determination period of the
coefficient with respect to the life test data for each test condition. At this time,
the coefficient A is fitted such that the coefficient does not vary even though the
load parameter (temperature, SOC, current, etc.) is changed, and becomes the same
value as long as the battery specification is the same. In addition, the coefficient
τ becomes different values when the load parameter (temperature, SOC, current, etc.)
is different.
[0061] The coefficients τ corresponding to these test conditions are defined as the following
function in the relation with respect to the load parameter for example, and the function
is stored in the memory unit 180 as information on the coefficient τ. In addition,
the coefficient A is stored in the memory unit 180 in advance as a unique value for
each battery.
[Equation 17]

[Equation 18]

[Equation 19]

[0062] The battery pack control unit 150 calculates τ(t) on the basis of a history of the
respective load parameters such as the current flowing to each single battery 111,
the ambient temperature and the SOC, and Equation (18) described above at every calculation
step. Then, the cumulated deterioration amount corresponding to the left side of Equation
(19) is calculated using the calculated coefficient τ(t), and stored in the memory
unit 180. Thereafter, X(t) is obtained from the cumulated deterioration amount and
Equation (19). The temporal change of the battery capacity of each single battery
111 is calculated from the obtained X(t) and Equation (11). Equation (19) is an equation
obtained by deforming Equation (15) to correspond to the change of the load parameter.
The temporal change of the battery capacity of the single battery 111 of which the
left side τ of Equation (19) is calculated (that is, information of the prediction
result of the lift of the single battery 111) is stored, for example, in the memory
unit 180 as described above. The information of the prediction result of the life
of each single battery 111 stored in the memory unit 180 is read, for example, through
the battery pack control unit 150 and the vehicle control unit 200 as described above,
and displayed in the display device (not illustrated) mounted in the vehicle.
Flowchart
[0063] FIG. 9 is a flowchart illustrating an operation of a prediction process of the temporal
change of the battery capacity of each single battery 111. For example, when a trigger
for performing the prediction process of the temporal change of the battery capacity
is input to the battery pack control unit 150, a program for performing the process
illustrated in FIG. 9 is activated and executed by the battery pack control unit 150.
Further, for example, in a case where the prediction process of the temporal change
of the battery capacity is set in advance to be performed at every several weeks,
the trigger for performing the prediction process of the temporal change of the battery
capacity is input to the battery pack control unit 150 when it comes to the time for
performing the prediction process. In addition, the trigger for performing the prediction
process of the temporal change of the battery capacity may be configured to be input
to the battery pack control unit 150 when any operation is made to perform the prediction
process of the temporal change of the battery capacity.
[0064] In Step S1, a history of the respective load parameters such as the current flowing
to each single battery 111, the ambient temperature, and the SOC stored in the memory
unit 180 is read, and the procedure proceeds to Step S3. In Step S3, the coefficients
A and τ are calculated on the basis of the history of the respective load parameters
such as the current flowing to each single battery 111, the ambient temperature, and
the SOC read in Step S1, and Equations (17) and (18), and the procedure proceeds to
Step S5.
[0065] In Step S5, the temporal change of the battery capacity of each single battery 111
is calculated on the basis of the coefficients A and τ calculated in Step S3 and the
capacity degradation function of Equation (15), and the procedure proceeds to Step
S7. In Step S7, the information of the temporal change of the battery capacity of
each single battery 111 calculated in Step S5 is stored in the memory unit 180, and
the program is ended. Further, in Step S7, the information of the temporal change
of the battery capacity of each single battery 111 calculated in Step S5 is, for example,
displayed in the display device (not illustrated) of the vehicle in which the battery
system 100 is mounted.
[0066] In the battery system 100 of this embodiment, the following operational effects can
be obtained.
- (1) The temporal change of the battery capacity is predicted on the basis of a function
in which a reduction of the SEI precursor concentration g(t) in the electrolytic solution
by growing the SEI film is taken into consideration. Therefore, the prediction accuracy
of the temporal change of the battery capacity can be improved compared to a case
where the temporal change of the battery capacity is predicted on the basis of the
conventional root-t method in which the reduction of the SEI precursor concentration
g(t) in the electrolytic solution by growing the SEI film is not taken into consideration.
Therefore, since the life space of each single battery 111 in the battery system 100
used over a long period of time can be predicted with accuracy, it is advantageous
in using the battery system 100 stably over a long period of time.
- (2) There is provided a physical model in which the battery capacity is lowered in
proportion to an increase in thickness of the SEI film formed in the surface of the
negative electrode, in which the growth speed of the film thickness is in proportion
to the SEI precursor concentration in the electrolytic solution and is in inverse
proportion to the film thickness. A function for predicting the temporal change of
the battery capacity is derived on the basis of the physical model in which the SEI
precursor concentration in the electrolytic solution is reduced as the thickness of
the SEI film is increased. Therefore, the prediction function of the temporal change
of the battery capacity is derived on the basis of the physical model in which an
influence of the SEI film onto the battery capacity is more reflected, so that the
prediction curve of the battery capacity can be calculated even when a period of measuring
the battery capacity is short. Accordingly, it is advantageous in developing and using
the lithium-ion secondary battery.
- (3) The prediction function of the temporal change of the battery capacity is expressed
by Equations (11) and (19) described above, so that the temporal change of the battery
capacity is easy to calculate. Therefore, a calculation load on the battery pack control
unit 150 is suppressed when the temporal change of the battery capacity is predicted,
so that there is no need about a high-performance arithmetic device, and the cost-up
in the battery system 100 can be suppressed.
- (4) The coefficients A and τ are determined on the basis of the relation with respect
to the load parameters such as the current pattern I(t), the ambient temperature T(t),
and the SOC operational range SOC (t), and the temporal change of the battery capacity
is calculated. Therefore, the life span of the single battery 111 can be predicted
with accuracy in accordance with a usage environment of the battery system 100, so
that a replace timing of the battery pack 110 can be optimized, and the battery pack
110 can be efficiently used.
Second Embodiment
[0067] In a second embodiment, the description will be made about an example in which the
invention is applied to the prediction of the temporal change of the battery capacity
when a lithium-ion secondary battery is developed.
[0068] When the lithium-ion secondary battery is developed, it is cumbersome to measure
the temporal change of the battery capacity on a predetermined load condition over
a long period of time. However, as described in the first embodiment, it can be seen
that the prediction curve of the battery capacity is well matched to the measured
value of the capacity over the entire evaluation period with the accuracy of the battery
capacity prediction even when the coefficients A and τ are determined on the basis
of the data of the measured value in a short period of time.
[0069] In other words, it is possible to significantly shorten a period required for the
evaluation test of the temporal change of the battery capacity by applying the invention
to the development of the lithium-ion secondary battery.
[0070] FIG. 10 is a diagram illustrating a configuration of the device in a case where the
invention is applied to an evaluation test device of the temporal change of the battery
capacity. An evaluation test device 1 of this embodiment is a test device which predicts
the temporal change of the battery capacity of a target battery 111A on the basis
of data of the measured value in a short period of time, and includes a battery information
acquisition unit 11, a charging/discharging control unit 12, a memory unit 13, a prediction
unit 14, a charging/discharging unit 15, and an output unit 16. The functions of the
battery information acquisition unit 11, the charging/discharging control unit 12,
and the prediction unit 14 are realized by a CPU 10a of a control circuit 10 when
a predetermined program stored in the memory unit 13 is executed.
[0071] The battery information acquisition unit 11 is a functional block which detects a
state of the target battery 111A such as a voltage, a temperature, and a battery capacity
of the target battery 111A and acquires the state as the information of the target
battery 111A. For example, the information of the voltage and the temperature of the
target battery 111A acquired by the battery information acquisition unit 11 is transmitted
to the charging/discharging control unit 12. For example, the information of the battery
capacity of the target battery 111A acquired by the battery information acquisition
unit 11 is stored in the memory unit 13 together with elapsed time since the test
starts.
[0072] The charging/discharging control unit 12 is a functional block which controls a cycle
of charging or discharging the target battery 111A performed by the charging/discharging
unit 15. The charging/discharging control unit 12 controls a charging current, a charging
time, a discharging current, a discharging time, and a charging/discharging pause
time which are the test conditions of the target battery 111A. In addition, the charging/discharging
control unit 12 controls the charging/discharging unit 15 to measure the capacity
of the target battery 111A during the test of the target battery 111A. The SOC (State
of Charge) of the target battery 111A transmitted from the charging/discharging unit
15, and a control state of the charging/discharge are input to the charging/discharging
control unit 12. Further, the charging/discharging unit 15 includes a power source
and a load for charging/discharging the target battery 111A.
[0073] The memory unit 13 is a memory device which stores a control program for controlling
the charging/discharging in the charging/discharging control unit 12, a load pattern
(charging/discharging pattern) of the evaluation test, a measurement result of the
battery capacity from the charging/discharging control unit 12, and a calculation
result in the prediction unit 14 described below. Further, the memory unit 13 includes
a memory medium such as RAM, ROM, and nonvolatile memory (not illustrated). In addition,
the memory unit 13 stores in advance the capacity degradation function of Equation
(19) described in the first embodiment.
[0074] The prediction unit 14 is a functional block which measures the temporal change of
the battery capacity of the target battery 111A on the basis of the capacity degradation
function and the measurement result of the battery capacity stored in the memory unit
13. The prediction unit 14 performs a fitting on the measurement result of the battery
capacity by the capacity degradation function of Equation (15) to obtain the prediction
curve of the temporal change of the battery capacity of the target battery 111A as
described above. The information on the temporal change of the battery capacity of
the target battery 111A obtained by the prediction unit 14 is output to the output
unit 16.
[0075] The output unit 16 includes, for example, the display device which displays the information
on the temporal change of the battery capacity of the target battery 111A, and an
interface which outputs the information on the temporal change of the battery capacity
of the target battery 111A to the outside.
[0076] In the evaluation test device 1 configured as described above, the evaluation test
is performed on the temporal change of the battery capacity of the target battery
111A as described below. When the target battery 111A is connected to the evaluation
test device 1 to start the evaluation test, the charging/discharging control unit
12 controls the charging/discharging unit 15 such that the charging/discharging is
performed by the target battery 111A according to the charging/discharging pattern
stored in advance in the memory unit 13. The charging/discharging of the target battery
111A is repeatedly performed during the period of the evaluation test.
[0077] The battery information acquisition unit 11 appropriately measures and acquires the
battery capacity of the target battery 111A during the period of the evaluation test.
The information of the battery capacity of the target battery 111A acquired by the
battery information acquisition unit 11 is stored in the memory unit 13 together with
the information of the elapsed time since the test starts as described above. In this
way, the battery capacity of the target battery 111A is measured in plural times in
an appropriate interval during the test period.
[0078] When the charging/discharging and the measuring of the battery capacity are repeatedly
performed in a predetermined test period, the prediction unit 14 reads information
indicating a relation between the battery capacity of the target battery 111A and
the elapsed time since the test starts from the memory unit 13. The information corresponds
to the plot data in the determined period of the coefficient in FIG. 5 described above.
The prediction unit 14 performs a fitting on the read information indicating the relation
between the battery capacity of the target battery 111A and the elapsed time since
the test starts such that a square sum of the error of the predicted value by the
capacity degradation function of Equation (15) described above is minimized, and determines
the coefficients A and τ.
[0079] Then, the prediction unit 14 calculates the prediction curve of the battery capacity
of the target battery 111A from Equations (15) and (11) using the determined coefficients
A and τ. The calculation result of the prediction unit 14 is stored in the memory
unit 13, and the values of the coefficients A and τ and a graph of the prediction
curve are output to the display device of the output unit 16.
Flowchart
[0080] FIG. 11 is a flowchart illustrating an operation of a prediction process of the temporal
change of the battery capacity of the target battery 111A in the evaluation test device
1 of this embodiment. For example, when an operation switch (not illustrated) instructing
the start of the evaluation test of the temporal change of the battery capacity is
operated, a program for performing the process shown in FIG. 11 is activated and executed
by the CPU 10a of the control circuit 10. In Step S21, the charging/discharging of
the target battery 111A starts on the basis of the load pattern of the evaluation
test stored in advance in the memory unit 13, and the procedure proceeds to Step S23.
[0081] In Step S23, an elapsed-time timer for counting a test start time is activated, and
the procedure proceeds to Step S25. In Step S25, a measurement timer for defining
a measurement interval of the battery capacity is activated, and the procedure proceeds
to Step S27. In Step S27, the measurement time activated in Step S25 is on standby
until that the timer is expired, and then after the procedure proceeds to Step S29.
The battery capacity is measured, and the procedure proceeds to Step S31.
[0082] In Step S31, the battery capacity measured in Step S29 and the elapsed time of the
elapsed-time timer activated in Step S23 are stored in the memory unit 13 in association
with each other, and the procedure proceeds to Step S33. In Step S33, it is determined
whether the elapsed-time timer activated in Step S23 is expired.
[0083] When it is determined that the elapsed-time timer is not expired in Step S33, the
procedure proceeds to Step S25. When it is determined that the elapsed-time timer
is expired in Step S33, the procedure proceeds to Step S35. The charging/discharging
of the target battery 111A started in Step S21 is stopped, and the procedure proceeds
to Step S37.
[0084] In Step S37, information indicating a relation between the battery capacity and the
elapsed time of the elapsed-time timer stored in the memory unit 13 in Step S31 repeatedly
executed is read from the memory unit 13, and the procedure proceeds to Step S39.
In Step S39, the coefficients A and τ are determined as described above on the basis
of the information indicating the relation between the battery capacity and the elapsed
time of the elapsed-time timer read in Step S37, and the procedure proceeds to Step
S41.
[0085] In Step S41, using the coefficients A and τ determined in Step S39, the prediction
curve of the battery capacity with respect to the target battery 111A (that is, the
temporal change of the battery capacity) is calculated from Equations (15) and (11)
stored in the memory unit 13, and the procedure proceeds to Step S43. In Step S43,
the prediction curve of the battery capacity calculated in Step S41 and the coefficients
A and τ determined in Step S39 are stored in the memory unit 13, and the procedure
proceeds to Step S45.
[0086] In Step S45, the information of the prediction curve of the battery capacity calculated
in Step S41 and the information of the coefficients A and τ determined in Step S39
are displayed in the display device of the output unit 16, and the program is ended.
[0087] In the second embodiment, the following operational effects can be obtained in addition
to the operational effects of the first embodiment. In other words, the battery capacity
is measured while repeatedly performing the charging/discharging of the target battery
111A, and the coefficients A and τ are determined on the basis of the information
indicating the relation between the obtained battery capacity and the elapsed time
since the test starts. Then, the prediction curve of the battery capacity with respect
to the target battery 111A is calculated from Equations (15) and (11) using the determined
coefficients A and τ. In this way, even when a period for measuring and acquiring
the battery capacity is short, the accurate prediction curve of the battery capacity
is obtained. Therefore, it is possible to significantly shorten the period required
for the evaluation test of the temporal change of the battery capacity.
Modifications
[0088]
- (1) In the first embodiment described above, the information on the coefficients A
and τ is stored in the memory unit 180 as a function shown in Equations (17) and (18),
but the invention is not limited thereto. For example, the information on the coefficients
A and τ may be stored in the memory unit 180 as a data table in association with the
test condition performed in advance. Then, when the temporal change of the battery
capacity of each single battery 111 is calculated, the coefficients A and τ may be
calculated on the basis of the history of the respective load parameters such as the
current flowing to each single battery 111, the ambient temperature, and the SOC stored
in the memory unit 180, and the above-described data table.
- (2) In the first embodiment described above, the coefficients A and τ are calculated
on the basis of the history of the respective load parameters such as the current
flowing to each single battery 111, the ambient temperature, and the SOC, and Equations
(17) and (18) described above. Then, the temporal change of the battery capacity of
each single battery 111 is calculated by the capacity degradation function of Equation
(19) using the calculated coefficients A and τ, but the invention is not limited thereto.
For example, the invention may be applied to the prediction of the temporal change
of the capacity of the target battery 111A in an unexecuted-test condition.
Specifically, for example, behavior of the respective load parameters of the target
battery 111A corresponding to the unexecuted-test condition are determined in advance.
Then, the coefficients A and τ are calculated by applying the behavior of the respective
determined load parameters to Equations (17) and (18) described above in place of
the history of the respective load parameters such as the current flowing to each
single battery 111, the ambient temperature, and the SOC. The temporal change of the
battery capacity of the target battery 111A corresponding to the unexecuted-test condition
can be calculated from the capacity degradation function of Equation (19) by using
the coefficients A and τ calculated as described above.
- (3) The above-described embodiments and the modifications may be combined to each
other.
[0089] The invention is not limited to the above-described embodiments and the modifications,
and it is a matter of course that various changes can be made in a scope not departing
from the spirit of the invention.
[0090] In addition, some or all of the above-described configurations and functions may
be realized as hardware using an integrated circuit, or may be realized as a program
or software executed by a processor. Information such as programs and tables for realizing
the respective functions may be stored in a storage medium such as a memory and a
hard disk, or a storage medium such as an IC card and a DVD.
[0091] The disclosed contents of the following priority is incorporated herein as a basic
application. Japanese Patent Application No.
2014-100741 (filed on May 14, 2014) Reference Signs List
[0092]
- 1
- evaluation test device
- 10
- control circuit
- 10a
- CPU
- 11
- battery information acquisition unit
- 12
- charging/discharging control unit
- 13
- memory unit
- 14
- prediction unit
- 15
- charging/discharging unit
- 16
- output unit
- 100
- battery system
- 110
- battery pack
- 111
- single battery (battery cell)
- 111A
- target battery
- 120
- battery control system
- 150
- battery pack control unit
- 180
- memory unit